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Common Core 6 Math Mastery Assessment

ESTIMATED TIME:  Please allow approximately 90 minutes for this assessment.  Be sure you have time to complete the entire test in one session; a partially completed testing session cannot be saved.
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This is an assessment of the 6th grade Common Core math skills and concepts taught in our CC 6 course.

The assessment is to be completed INDIVIDUALLY by the student, with no assistance from other people or resources such as notes, books, or the internet.

STUDENT INFO:  In the boxes at the top of this screen, enter the student’s first and last name and a valid parent email address.  (The ID # field can be left blank.)

MATERIALS NEEDED:  pencil, scratch paper, graph paper

CALCULATORS are NOT permitted for this assessment.

QUESTION TYPES: This test has several different types of questions.
MULTIPLE CHOICE: Select one correct answer from the choices.
MULTIPLE RESPONSE:
Select ALL correct answers from the choices.  There may be more than one correct response.  You must identify ALL correct answers to earn the point.
TRUE/FALSE
or YES/NO:  Select the best response.
NUMERICAL RESPONSE:
Type the correct answer into the blank box that appears below the item. Do not enter units; they have been provided for you.

IMPORTANT NOTE FOR PARENTS
:  Once the test is completed and submitted, your student’s score will be automatically sent to the district.  You will also see a screen that gives your student’s score.  Please print out the score screen or make a note of the score, as you will need to record the score on your student’s math placement selection form.
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1.

Evaluate A. 100 B. 244 C. 757 D. 892

2.

Which expression represents “8 less than the product of 6 and a number x”?
 A. B. C. D. 3.

Find the volume of a cube with side lengths of  0.5 inch.  Give your answer in decimal form:

_________ cubic inches

4.

Look at each pair of expressions given below.  For each pair, decide whether the two expressions are equivalent.  Choose ALL pairs of expressions that are equivalent.
 A. and B. and C. and D. and 5.

Look at each pair of expressions given below.  For each pair, decide whether the two expressions are equivalent.  Choose ALL pairs of expressions that are equivalent.
 A. and B. and C. and D. and 6.

A theme park has a log ride that can hold 12 people.  For safety reasons, there is a weight limit for each log.

There are several groups of children waiting to ride. Children at this park weigh 90 lbs on average.  If 4 adults are already seated in the log, then the following inequality represents how many children can safely ride while meeting the weight limit: where C is the number of children.

Select all groups of children that can safely ride.  (Choose ALL that apply.)
 A. Group A has 4 children. B. Group B has 3 children. C. Group C has 9 children. D. Group D has 6 children.

7.

Select the equation(s) where is a solution.  Choose ALL that apply.
 A. B. C. D. E. F. 8.

Monique is playing a game called fizzbuzz. The rules are that she counts out loud, but for multiples of a certain number she says “fizz”, and for multiples of another type of number she says “buzz.” Determine the rules for saying “fizz” and “buzz” if Monique counts in the following way:

“...fizz, 41, buzz, 43, fizz, 45, 46, 47, fizzbuzz, 49...”

 A. “Fizz” numbers are multiples of 2; “buzz” numbers are multiples of 3 B. “Fizz” numbers are multiples of 2; “buzz” numbers are multiples of 8 C. “Fizz” numbers are multiples of 4; “buzz” numbers are multiples of 6 D. “Fizz” numbers are multiples of 4; “buzz” numbers are mulitples of 3

9.

Sierra walks her dog Pepper twice a day.  Her evening walk is two and a half times as far as her morning walk.  At the end of a full week she tells her mom, “I walked Pepper for 30 miles this week!”

To the nearest tenth of a mile, how long is Sierra’s morning walk?

10.

Find the solution to this equation: A. B. C. D. 11.

There are 25 cans of soup in a case.  The manager of a grocery store needs to order 325 cans of coup.  Which equation can be used to find x, the total number of cases the manager needs to order?
 A. B. C. D. None of the above.

12.

Identify which of the following statement(s) and/or number line(s) can be represented by the inequality .  Choose ALL that apply.
 A. The temperature increased by 4° Fahrenheit. B. The value of a number substituted for x is greater than 4. C. Marcus drinks more than 4 glasses of water every day. D. E. 13.

A ride at a theme park has a sign that says “You must be at least 52 inches tall to go on this ride.”

Let h represent the height (in inches) of people at the theme park.  Choose the inequality that describes all those who are tall enough to go on the ride.
 A. B. C. D. Use this information and the table for problems #14-17.

Stephanie is helping her band collect money to fund a field trip.  The band decided to sell boxes of chocolate bars.  Each bar sells for \$1.50 and each box contains 20 bars.  Below is a partial table of monies collected for different numbers of boxes sold. 14.

Which equation represents the amount of money, m, that will be collected if b boxes of chocolate bars are sold?
 A. B. C. D. 15.

Identify which is the dependent variable and which is the independent variable.
 A. b is the dependent variable and m is the independent variable B. m is the dependent variable and b is the independent variable C. both b and m are dependent variables D. both b and m are independent variables

16.

Calculate how much money will be collected if 100 boxes of chocolate bars are sold.

17.

The band collected \$1,530.00 from chocolate bar sales.  How many boxes did they sell?

18.

Determine the area of the shaded figure (each square on the grid measures 1 square unit). 19.

What is the area of the isosceles trapezoid shown? A. B. C. D. 20.

A rectangular tank is 16 in wide, in long, and 22 in high.  It is filled with water, and the surface of the water is 4 inches below the top of the tank.  Find the volume of the water in the tank. 21.

The length of a rectangular parking lot at the airport is mile.  If the area is square mile, what is the width of the parking lot?
 A. mile B. mile C. mile D. mile

22.

Rosa ran of the way from her home to school.  She ran mile.  How far is it between her home and school?

23.

Jayden has \$20.56.  He buys an apple for 79 cents and a granola bar for \$1.76.  How much money does Jayden have now?

24.

Juanita spent \$24.50 on each of her 6 grandchildren at the fair.  How much money did Juanita spend?

25.

Helen spent an equal amount of money on each of her 7 grandchildren at the fair.  If she spent a total of \$227.50, how much did she spend on each grandchild?

26.

What is the greatest common factor of 48 and 64?

27.

What is the least common multiple of 8 and 12?

28.

On the same winter morning, the temperature is °F in Anchorage, Alaska and °F in Miami, Florida.  How many degrees warmer was it in Miami than in Anchorage on that morning?

29.

The coordinates of point V are (7, 4).  Point W is a reflection of point V across the x-axis.  In which quadrant will point W be located? 30.

Which number best represents the location of point E on the number line below? A. B. C. D. 31.

Which of the following represent the opposite of ? Choose ALL that apply.
 A. B. C. D. 32.

For each of the following inequalities, select all the inequalities that are TRUE.  (Choose ALL that apply.)
 A. B. C. D. 33.

These thermometers show the temperature in Albany, NY and Flint, MI one morning. Mike wrote an inequality comparing the temperatures in the two cities. Is Mike’s inequality TRUE or FALSE?

34.

The coordinates of point A are (–6, 4).  The coordinates of point B are (3, 4).  Which expression represents the distance, in units, between points A and B?
 A. B. C. D. 35.

Point G is the point (3, –1).  Which point is 5 units from point G? A. point A B. point B C. point C D. point D

36.

A mixture of concrete is made up of sand and cement in a ratio of 5:3.  How many cubic feet of cement is needed to make 160 cubic feet of the concrete mixture?

ANSWER:  _____________ cubic feet of cement

37.

Ty took the escalator to the second floor.  The escalator is 12 meters long, and he rode the escalator for 30 seconds.  Which statements are true?  Choose ALL that apply.
 A. He traveled 2 meters every 5 seconds. B. Every 10 seconds he traveled 4 meters. C. He traveled 2.5 meters per second. D. He traveled 0.4 meters per second E. Every 25 seconds, he traveled 7 meters.

Use this information for problems #38-41

Lin rode a bike 20 miles in 150 minutes.  Assume she rode at a constant speed.

38.

How far did Lin ride in 15 minutes?

39.

How long did it take Lin to ride 6 miles?

40.

How fast did Lin ride in miles per hour?

41.

What was Lin’s pace in minutes per mile?

42.

The table below shows the number of tea bags needed to make different amounts of iced tea. What is the total number of quarts of iced tea that can be made with 24 tea bags?
 A. 5 quarts B. 6 quarts C. 7 quarts D. 8 quarts

43.

Selena bought a shirt on sale that was 20% less than the original price.  The original price was \$5 more than the sale price.  What was the original price of the shirt?

44.

Lissie set a goal to save \$320 for a new computer.  So far she has saved \$112.  What percent of her goal has Lissie saved so far?

45.

Kendall bought a vase that was priced at \$450.  In addition she had to pay 3% sales tax.  How much did she pay in total?

46.

Jada has a rectangular board that is 60 inches long and 48 inches wide.

Jada said, “To convert inches to feet, I should divide by 12.  The board has an area of .  If I divide the area by 12, I can find out the area in square feet.  So the area of the board is 2880 divided by 12, or 240 square feet.”

Do you agree with Jada’s reasoning?  Choose YES or NO.

47.

The land that Dana is buying for her new  house is 35 yards by 50 yards.   How many SQUARE  FEET of land is Dana buying?

Use this information and the dot plots for problem #48.

The two dot plots show the 6-trait writing scores for a group of students on two different traits—ORGANIZATION and IDEAS. 48.

Identify the statements below that accurately describe the data shown in the dot plots above.  Choose ALL that apply.
 A. ORGANIZATION scores are generally higher than IDEAS scores. B. The median score for IDEAS is 5. C. The mode of the ORGANIZATION scores is 3. D. The mean score for IDEAS is lower than the median score.

Use this information for questions #49 and #50.

The areas, in square kilometers, of ten countries in South America are shown in the table. The data is also summarized in the box plot. 49.

Which measure of center is best to use when describing this data?
 A. mean B. median C. mode D. range

50.

Which of these values best represents the approximate inter-quartile range (IQR)?
 A. 500,000 sq km B. 750,000 sq km C. 1,000,000 sq km D. 8,500,000 sq km